Special Session 101: 

Infinitely many solutions for the $(p,q)$-Laplace equation

Ryuji Kajikiya
Saga University
Japan
Co-Author(s):    
Abstract:
This lecture is a joint work with Dr. Komiya. We study the $(p,q)$-Laplace equation under the Dirichlet boundary condition. We give a sufficient condition of the nonlinear term for the existence of a sequence of solutions converging to zero or diverging to infinity. Moreover, we give a priori estimates of the $C^1$-norms of solutions.